Advances and Applications in Statistics

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STATISTICAL TABLES FOR EXACT AND APPROXIMATE BIVARIATE DAGUM DISTRIBUTION

Authors

  • Khalid M. El-Khabeary
  • Afaf El-Dash
  • Nada M. Hafez
  • Samah M. Abo-El-Hadid

Keywords:

bivariate Dagum distribution, bivariate distributions, Excel spreadsheet, statistical tables, numerical double integration, bivariate cumulative distribution

DOI:

https://doi.org/10.17654/0972361724055

Abstract

Multivariate distributions, especially bivariate Dagum distribution,  are pivotal in various economic, social, and business fields. However, researchers, especially non-specialized users of these distributions, often face difficulty in dealing with bivariate or multivariate distributions in application due to the complexity of their mathematical forms in many cases. Therefore, in this paper, we designed a statistical table that gives the exact values of the bivariate Dagum cumulative distribution in the cases of dependence and independence of random variables introduced by El-Khabeary et al. [8]. Then we presented an approximate distribution of the bivariate Dagum cumulative distribution by using numerical double integration and the corresponding statistical table. Also, some numerical examples are provided. Finally, a comparison study between the exact and approximate values is presented.

Received: April 19, 2024
Revised: May 31, 2024
Accepted: June 5, 2024

References

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Published

19-06-2024

Issue

Vol. 91 No. 8 (2024)

Section

Articles

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How to Cite

STATISTICAL TABLES FOR EXACT AND APPROXIMATE BIVARIATE DAGUM DISTRIBUTION. (2024). Advances and Applications in Statistics , 91(8), 1037-1053. https://doi.org/10.17654/0972361724055

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